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Finding the Fourth Proportional to 97,818.90, 146,728.35 and 51,162.90

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Solution

The fourth proportional to 97,818.90, 146,728.35 and 51,162.90 is: 76,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,818.90 : 146,728.35 = 51,162.90 : x
  2. Step 2: Convert to fraction form
    97,818.90/146,728.35 = 51,162.90/x
  3. Step 3: Cross multiply
    97,818.90x = 146,728.35 × 51,162.90
  4. Step 4: Simplify right side
    97,818.90x = 7,507,047,898.22
  5. Step 5: Solve for x
    x = 7,507,047,898.22/97,818.90
  6. Step 6: Final answer
    x = 76,744.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.